simple_lm <- map(var_rigal,
~analysis_dataset %>%
nest_by(siteid) %>%
mutate(
model = list(lm(as.formula(paste0(.x, " ~ year ")), data = data)),
res_mod = list(broom::glance(model)),
coef_mod = list(broom::tidy(model))
)
)
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
#> Warning in summary.lm(x): essentially perfect fit: summary may be unreliable
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names(simple_lm) <- var_rigal
slope <- map_dfr(simple_lm, ~.x %>%
select(siteid, coef_mod) %>%
unnest(cols = c(coef_mod)) %>%
filter(term == "year") %>%
ungroup(), .id = "response"
)
slope_df <- slope %>%
select(siteid, response, estimate) %>%
pivot_wider(names_from = "response", values_from = "estimate")
cor_slope <- slope_df %>%
select(-siteid) %>%
cor(.)
cor_slope
#> log_total_abundance species_nb log_species_nb chao_richness
#> log_total_abundance 1.00000000 0.4131255 0.4196764 0.1270819
#> species_nb 0.41312548 1.0000000 0.8165236 0.7838658
#> log_species_nb 0.41967645 0.8165236 1.0000000 0.6765731
#> chao_richness 0.12708191 0.7838658 0.6765731 1.0000000
#> chao_shannon -0.02062084 0.5092963 0.5186777 0.6711604
#> chao_simpson -0.04573325 0.3789075 0.4290480 0.5034840
#> chao_shannon chao_simpson
#> log_total_abundance -0.02062084 -0.04573325
#> species_nb 0.50929631 0.37890745
#> log_species_nb 0.51867774 0.42904803
#> chao_richness 0.67116044 0.50348399
#> chao_shannon 1.00000000 0.94334475
#> chao_simpson 0.94334475 1.00000000
corrplot::corrplot(cor_slope, type = "lower", tl.srt = 30)
ti <- expand.grid(
resp1 = unique(slope$response),
resp2 = unique(slope$response)
) %>%
filter(resp2 != resp1) %>%
mutate_all(as.character) %>%
arrange(resp1)
test <- map2(ti$resp1, ti$resp2,
function(x, y) {
bi <- slope %>%
filter(response %in% c(x, y)) %>%
select(siteid, response, estimate) %>%
pivot_wider(names_from = "response", values_from = "estimate")
return(bi)
}
)
p <- map(test, function(x) {
l <- colnames(x)
x %>%
ggplot(aes(y = !!sym(l[2]), x = !!sym(l[3]))) +
geom_point() +
geom_smooth(method = "lm") +
labs(y = l[2], x = l[3])
})
p
#> [[1]]
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plot_grid(plotlist = p)
#> `geom_smooth()` using formula 'y ~ x'
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#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
#> `geom_smooth()` using formula 'y ~ x'
names(rigal_trends) <- var_rigal
p <- map2(rigal_trends, names(rigal_trends),
~.x %>%
ggplot(aes(x = first_order_coefficient)) +
geom_histogram() +
labs(title = .y)
)
plot_grid(plotlist = p)
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> Warning: Removed 127 rows containing non-finite values (stat_bin).
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> Warning: Removed 127 rows containing non-finite values (stat_bin).
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> Warning: Removed 101 rows containing non-finite values (stat_bin).
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> Warning: Removed 101 rows containing non-finite values (stat_bin).
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> Warning: Removed 91 rows containing non-finite values (stat_bin).
get_var_replacement <- function() {
c(
log_species_nb = "Log species richness",
species_nb = "Species richness",
log_total_abundance = "Log total abundance",
total_abundance = "Total abundance"
)
}
classification_station <- map2(rigal_trends, names(rigal_trends),
~.x %>%
ggplot(aes(x = shape_class)) +
geom_bar() +
labs(x = "Trajectory classification", y = "Number of station",
title = get_var_replacement()[.y])
)
plot_grid(plotlist = classification_station)
#3.3 Log-linear model:logYi=α+βXi+εiIn
#the log-linear model, the literal interpretation of the estimated
#coefficientˆβis that a one-unitincrease inXwill produce an expected increase in
#logYofˆβunits.
#In terms ofYitself, this
#meansthat the expected value ofYis multiplied byeˆβ. So in terms of
#effects of changes inXonY(unlogged):•Each 1-unit increase inXmultiplies the
#expected value ofYbyeˆβ.•To compute the effects onYof another change inXthan an
#increase of one unit, call thischangec, we need to includecin the exponent. The
#effect of ac-unit increase inXis tomultiply the expected value ofYbyecˆβ. So the
#effect for a 5-unit increase inXwould bee5ˆβ.•For small values ofˆβ,
#approximatelyeˆβ≈1+ˆβ. We can use this for the following approxima-tion for a
#quick interpretation of the coefficients: 100·ˆβis the expected percentage
#changeinYfor a unit increase inX. For instance forˆβ=.06,e.06≈1.06, so a 1-unit
#change inXcorresponds to (approximately) an expected increase inYof 6%
#https://data.library.virginia.edu/interpreting-log-transformations-in-a-linear-model/
hist_linear_plot <- map2(rigal_trends, names(rigal_trends),
~.x %>%
ggplot(aes(x = (exp(linear_slope) - 1) * 100)) +
geom_histogram() +
labs(x = "Linear slope (% change per year)", y = "Number of station",
title = get_var_replacement()[.y]) +
ylim(c(0, 3000))
)
plot_grid(plotlist = hist_linear_plot)
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> Warning: Removed 127 rows containing non-finite values (stat_bin).
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> Warning: Removed 127 rows containing non-finite values (stat_bin).
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> Warning: Removed 101 rows containing non-finite values (stat_bin).
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#> Warning: Removed 101 rows containing non-finite values (stat_bin).
#> `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#> Warning: Removed 91 rows containing non-finite values (stat_bin).
tar_load(hillebrand)
Reproducibility receipt
## datetime
Sys.time()
#> [1] "2022-01-03 11:36:13 CST"
## repository
if(requireNamespace('git2r', quietly = TRUE)) {
git2r::repository()
} else {
c(
system2("git", args = c("log", "--name-status", "-1"), stdout = TRUE),
system2("git", args = c("remote", "-v"), stdout = TRUE)
)
}
#> Local: main /home/alain/Documents/post-these/isu/RivFishTimeBiodiversityFacets
#> Head: [2ff80c9] 2022-01-03: Functions to run and save spaMM models
## session info
sessionInfo()
#> R version 4.0.5 (2021-03-31)
#> Platform: x86_64-pc-linux-gnu (64-bit)
#> Running under: Debian GNU/Linux 10 (buster)
#>
#> Matrix products: default
#> BLAS: /home/alain/.Renv/versions/4.0.5/lib/R/lib/libRblas.so
#> LAPACK: /home/alain/.Renv/versions/4.0.5/lib/R/lib/libRlapack.so
#>
#> locale:
#> [1] LC_CTYPE=fr_FR.UTF-8 LC_NUMERIC=C
#> [3] LC_TIME=fr_FR.UTF-8 LC_COLLATE=fr_FR.UTF-8
#> [5] LC_MONETARY=fr_FR.UTF-8 LC_MESSAGES=fr_FR.UTF-8
#> [7] LC_PAPER=fr_FR.UTF-8 LC_NAME=C
#> [9] LC_ADDRESS=C LC_TELEPHONE=C
#> [11] LC_MEASUREMENT=fr_FR.UTF-8 LC_IDENTIFICATION=C
#>
#> attached base packages:
#> [1] stats graphics grDevices utils datasets methods base
#>
#> other attached packages:
#> [1] iNEXT_2.0.20 future_1.21.0 codyn_2.0.5
#> [4] janitor_2.1.0 cowplot_1.1.1 rnaturalearthdata_0.1.0
#> [7] rnaturalearth_0.1.0 sf_1.0-4 rmarkdown_2.11
#> [10] scales_1.1.1 kableExtra_1.3.1 here_1.0.1
#> [13] lubridate_1.7.9.2 magrittr_2.0.1 forcats_0.5.1
#> [16] stringr_1.4.0 dplyr_1.0.4 purrr_0.3.4
#> [19] readr_2.1.1 tidyr_1.1.2 tibble_3.1.6
#> [22] ggplot2_3.3.3 tidyverse_1.3.0 tarchetypes_0.3.2
#> [25] targets_0.8.1 conflicted_1.1.0 nvimcom_0.9-122
#>
#> loaded via a namespace (and not attached):
#> [1] colorspace_2.0-0 ellipsis_0.3.2 class_7.3-18 rprojroot_2.0.2
#> [5] snakecase_0.11.0 fs_1.5.1 rstudioapi_0.13 farver_2.0.3
#> [9] listenv_0.8.0 furrr_0.2.2 fansi_0.5.0 xml2_1.3.2
#> [13] codetools_0.2-18 splines_4.0.5 cachem_1.0.4 knitr_1.36
#> [17] jsonlite_1.7.2 broom_0.7.4 cluster_2.1.1 dbplyr_2.1.0
#> [21] compiler_4.0.5 httr_1.4.2 backports_1.2.1 assertthat_0.2.1
#> [25] Matrix_1.3-2 fastmap_1.1.0 cli_3.1.0 htmltools_0.5.1.1
#> [29] tools_4.0.5 igraph_1.2.6 gtable_0.3.0 glue_1.5.1
#> [33] reshape2_1.4.4 Rcpp_1.0.6 cellranger_1.1.0 jquerylib_0.1.3
#> [37] vctrs_0.3.8 nlme_3.1-152 xfun_0.28 globals_0.14.0
#> [41] ps_1.6.0 rvest_0.3.6 lifecycle_1.0.1 MASS_7.3-53.1
#> [45] hms_1.1.1 parallel_4.0.5 yaml_2.2.1 memoise_2.0.0
#> [49] sass_0.3.1 stringi_1.7.6 highr_0.9 corrplot_0.84
#> [53] e1071_1.7-4 permute_0.9-5 rlang_0.4.12 pkgconfig_2.0.3
#> [57] evaluate_0.14 lattice_0.20-41 labeling_0.4.2 processx_3.5.2
#> [61] tidyselect_1.1.1 parallelly_1.23.0 plyr_1.8.6 bookdown_0.24
#> [65] R6_2.5.1 generics_0.1.0 DBI_1.1.1 pillar_1.6.4
#> [69] haven_2.3.1 withr_2.4.3 mgcv_1.8-34 units_0.6-7
#> [73] sp_1.4-5 modelr_0.1.8 crayon_1.4.2 KernSmooth_2.23-18
#> [77] utf8_1.2.2 tzdb_0.2.0 emo_0.0.0.9000 jpeg_0.1-8.1
#> [81] grid_4.0.5 readxl_1.3.1 data.table_1.13.6 git2r_0.29.0
#> [85] callr_3.7.0 vegan_2.5-7 reprex_1.0.0 digest_0.6.27
#> [89] classInt_0.4-3 webshot_0.5.2 munsell_0.5.0 viridisLite_0.3.0
#> [93] bslib_0.2.4